{
    "metadata": {
        "calculation_date": "2025-09-25T17:06:03.625533",
        "author": "Yoshiyuki Matsuyama",
        "article": "#004 Sgr A* Comparison",
        "version": "1.0 (accurate)"
    },
    "physical_constants": {
        "G": 6.6743e-11,
        "c": 299792458,
        "M_sun": 1.98847e+30
    },
    "black_hole_parameters": {
        "M87": {
            "mass_solar": 6500000000,
            "schwarzschild_radius": 19196705983434.707,
            "major_radius": 191967059834347.06,
            "minor_radius": 67188470942021.48,
            "accretion_rate": 6.301081197556215e+19
        },
        "SgrA": {
            "mass_solar": 4300000,
            "schwarzschild_radius": 12699359342.887577,
            "major_radius": 63496796714.43788,
            "minor_radius": 634967967.1443788,
            "accretion_rate": 63010811975562.15
        }
    },
    "results": {
        "schwarzschild_radii": {
            "M87": {
                "mass_solar": 6500000000,
                "mass_kg": 1.2925054999999999e+40,
                "schwarzschild_radius": 19196705983434.707,
                "Rs_km": 19196705983.434708,
                "Rs_AU": 128.3202271619967
            },
            "SgrA": {
                "mass_solar": 4300000,
                "mass_kg": 8.550421e+36,
                "schwarzschild_radius": 12699359342.887577,
                "Rs_km": 12699359.342887577,
                "Rs_AU": 0.08488876566101322
            },
            "ratio": {
                "mass_ratio": 1511.627906976744,
                "Rs_ratio": 1511.627906976744
            }
        },
        "torus_parameters": {
            "M87": {
                "major_radius": 191967059834347.06,
                "R_Rs_units": 10,
                "minor_radius": 67188470942021.48,
                "r_Rs_units": 3.5,
                "R_over_r": 2.8571428571428568
            },
            "SgrA": {
                "major_radius": 63496796714.43788,
                "R_Rs_units": 5,
                "minor_radius": 634967967.1443788,
                "r_Rs_units": 0.049999999999999996,
                "R_over_r": 100
            },
            "comparison": {
                "R_ratio": 3023.255813953488,
                "r_ratio": 105813.95348837209,
                "R_r_ratio": 0.028571428571428567
            }
        },
        "jet_velocities": {
            "M87": {
                "R_over_r": 2.8571428571428568,
                "v_over_c": 0.9367496997597597,
                "v_km_per_s": 280830.4950217404,
                "lorentz_factor": 2.8571428571428577
            },
            "SgrA": {
                "R_over_r": 100,
                "v_over_c": 0.9999499987499374,
                "v_km_per_s": 299777.4680023407,
                "lorentz_factor": 99.9999999998945
            },
            "comparison": {
                "velocity_ratio": 0.9367965407578519,
                "gamma_ratio": 0.02857142857145872
            }
        },
        "energy_densities": {
            "accretion_power": {
                "M87": 3.2279837340285568e+35,
                "SgrA": 3.227983734028557e+29,
                "ratio": 999999.9999999999
            },
            "torus_volume": {
                "M87": 1.7105901606186306e+43,
                "SgrA": 5.053417625158815e+29,
                "ratio": 33850164136491.12
            },
            "energy_density": {
                "M87": 6.294549672647407e-17,
                "SgrA": 2.1307153958441123e-9,
                "ratio": 2.954195424186971e-8,
                "threshold": 6.294549672647407e-18
            },
            "jet_activity": {
                "M87": true,
                "SgrA": true,
                "SgrA_deficit_factor": 2.954195424186971e-9
            }
        },
        "observational_predictions": {
            "W_axis_period": {
                "M87_seconds": 1408166.2235638094,
                "M87_days": 16.29822018013668,
                "SgrA_seconds": 13.307944530383253,
                "SgrA_minutes": 0.22179907550638756,
                "ratio": 105813.9534883721
            },
            "angular_size": {
                "M87_uas": 15.27485325306746,
                "SgrA_uas": 20.4532974791769,
                "ratio": 0.746816168327796
            },
            "observability": {
                "M87_jet": "Strong, observable",
                "SgrA_jet": "Not detected (energy deficit)",
                "explanation": "Insufficient accretion rate in Sgr A*"
            }
        },
        "visualization": {
            "file": "sgr_a_comparison.html",
            "type": "comparative_bar_chart"
        }
    }
}